/* @(#)s_sin.c 1.3 95/01/18 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunSoft, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 */

/* sin(x)
 * Return sine function of x.
 *
 * kernel function:
 *	__kernel_sin		... sine function on [-pi/4,pi/4]
 *	__kernel_cos		... cose function on [-pi/4,pi/4]
 *	__ieee754_rem_pio2	... argument reduction routine
 *
 * Method.
 *      Let S,C and T denote the sin, cos and tan respectively on 
 *	[-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 
 *	in [-pi/4 , +pi/4], and let n = k mod 4.
 *	We have
 *
 *          n        sin(x)      cos(x)        tan(x)
 *     ----------------------------------------------------------
 *	    0	       S	   C		 T
 *	    1	       C	  -S		-1/T
 *	    2	      -S	  -C		 T
 *	    3	      -C	   S		-1/T
 *     ----------------------------------------------------------
 *
 * Special cases:
 *      Let trig be any of sin, cos, or tan.
 *      trig(+-INF)  is NaN, with signals;
 *      trig(NaN)    is that NaN;
 *
 * Accuracy:
 *	TRIG(x) returns trig(x) nearly rounded 
 */

package kotlin.math.fdlibm

internal fun sin(x: Double): Double {
    val y: DoubleArray = DoubleArray(2)
    var z: Double = 0.0
    var n: Int
    var ix: Int

    /* High word of x. */
    ix = __HI(x)

    /* |x| ~< pi/4 */
    ix = ix and 0x7fffffff
    if (ix <= 0x3fe921fb) return __kernel_sin(x, z, 0)

    /* sin(Inf or NaN) is NaN */
    else if (ix >= 0x7ff00000) return x - x

    /* argument reduction needed */
    else {
        n = __ieee754_rem_pio2(x, y)
        when (n and 3) {
            0 -> return __kernel_sin(y[0], y[1], 1)
            1 -> return __kernel_cos(y[0], y[1])
            2 -> return -__kernel_sin(y[0], y[1], 1)
            else -> return -__kernel_cos(y[0], y[1])
        }
    }
}
